Ebook: Contributions to Nonlinear Analysis: A Tribute to D.G. de Figueiredo on the Occasion of his 70th Birthday
- Genre: Mathematics // Differential Equations
- Tags: Partial Differential Equations, Analysis
- Series: Progress in Nonlinear Differential Equations and Their Applications 66
- Year: 2006
- Publisher: Birkhäuser Basel
- City: Basel; Boston
- Edition: 1
- Language: English
- pdf
This volume represents a broad survey of current research in the fields of nonlinear analysis and nonlinear differential equations. It is dedicated to Djairo G. de Figueiredo on the occasion of his 70th birthday. The collection of 34 research and survey articles reflects the wide range of interests of Djairo de Figueiredo, including:
- various types of nonlinear partial differential equations and systems, in particular equations of elliptic, parabolic, hyperbolic and mixed type;
- equations of Schrödinger, Maxwell, Navier-Stokes, Bernoulli-Euler, Seiberg-Witten, Caffarelli-Kohn-Nirenberg;
- existence, uniqueness and multiplicity of solutions;
- critical Sobolev growth and connected phenomena;
- qualitative properties, regularity and shape of solutions;
- inequalities, a-priori estimates and asymptotic behavior;
- various applications to models such as asymptotic membranes, nonlinear plates and inhomogeneous fluids.
The contributions of so many distinguished mathematicians to this volume document the importance and lasting influence of the mathematical research of Djairo de Figueiredo. The book thus is a source of new ideas and results and should appeal to graduate students and mathematicians interested in nonlinear problems.
This volume contains research and survey articles in the fields of nonlinear analysis and nonlinear differential equations, written by internationally accomplished researchers. The articles reflect the state of the art in these important fields of current research. The volume is dedicated to D.G. de Figueiredo, thereby honoring the important contributions and lasting influence of a distinguished mathematician.